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440341380 = 223351077621
BaseRepresentation
bin11010001111110…
…001001110000100
31010200120122211000
4122033301032010
51400211411010
6111410013300
713624561053
oct3217611604
91120518730
10440341380
11206619aa6
12103577230
13702c763b
14426a639a
15289d17c0
hex1a3f1384

440341380 has 96 divisors (see below), whose sum is σ = 1382935680. Its totient is φ = 116311680.

The previous prime is 440341379. The next prime is 440341381. The reversal of 440341380 is 83143044.

It is an interprime number because it is at equal distance from previous prime (440341379) and next prime (440341381).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (440341381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53970 + ... + 61590.

It is an arithmetic number, because the mean of its divisors is an integer number (14405580).

Almost surely, 2440341380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440341380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691467840).

440341380 is an abundant number, since it is smaller than the sum of its proper divisors (942594300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

440341380 is a wasteful number, since it uses less digits than its factorization.

440341380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 440341380 is about 20984.3127121190. The cubic root of 440341380 is about 760.7871461372.

The spelling of 440341380 in words is "four hundred forty million, three hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2889 3210 3852 4815 5778 6420 7621 9630 11556 14445 15242 19260 22863 28890 30484 38105 45726 57780 68589 76210 91452 114315 137178 152420 205767 228630 274356 342945 411534 457260 685890 815447 823068 1028835 1371780 1630894 2057670 2446341 3261788 4077235 4115340 4892682 7339023 8154470 9785364 12231705 14678046 16308940 22017069 24463410 29356092 36695115 44034138 48926820 73390230 88068276 110085345 146780460 220170690 440341380